Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal subintervals. Evaluate U (Pn, f) and L (Pn, f). Thus show that f is Riemann integrable on [0, 1] and find the value of | r*dx.
Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal subintervals. Evaluate U (Pn, f) and L (Pn, f). Thus show that f is Riemann integrable on [0, 1] and find the value of | r*dx.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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![3.
Let f(x) = x³ on [0, 1] and let Pn be the arithmetic partition that splits
[0, 1] into n equal subintervals.
Evaluate U (Pn, f) and L (Pn; ƒ).
Thus show that f is Riemann integrable on [0, 1] and find the value of
| r*dr.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28c9d764-5f35-4e82-a324-5b5cea354883%2Ff69f952e-db43-4620-8ec3-1fac49717d45%2Fkfzpk8n_processed.png&w=3840&q=75)
Transcribed Image Text:3.
Let f(x) = x³ on [0, 1] and let Pn be the arithmetic partition that splits
[0, 1] into n equal subintervals.
Evaluate U (Pn, f) and L (Pn; ƒ).
Thus show that f is Riemann integrable on [0, 1] and find the value of
| r*dr.
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